java.lang.Object | |
↳ | java.awt.geom.CubicCurve2D |
Known Direct Subclasses |
The CubicCurve2D
class defines a cubic parametric curve
segment in (x,y)
coordinate space.
This class is only the abstract superclass for all objects which store a 2D cubic curve segment. The actual storage representation of the coordinates is left to the subclass.
Nested Classes | |||||||||||
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CubicCurve2D.Double | A cubic parametric curve segment specified with
double coordinates. |
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CubicCurve2D.Float | A cubic parametric curve segment specified with
float coordinates. |
Protected Constructors | |||||||||||
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This is an abstract class that cannot be instantiated directly.
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Public Methods | |||||||||||
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Creates a new object of the same class as this object.
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Tests if the interior of the
Shape entirely contains
the specified rectangular area. | |||||||||||
Tests if a specified
Point2D is inside the boundary
of the Shape . | |||||||||||
Tests if the specified coordinates are inside the boundary of the
Shape . | |||||||||||
Tests if the interior of the
Shape entirely contains the
specified Rectangle2D . | |||||||||||
Returns an integer
Rectangle that completely encloses the
Shape . | |||||||||||
Returns the first control point.
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Returns the second control point.
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Returns the X coordinate of the first control point in double precision.
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Returns the X coordinate of the second control point
in double precision.
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Returns the Y coordinate of the first control point in double precision.
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Returns the Y coordinate of the second control point
in double precision.
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Returns the flatness of this curve.
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Returns the flatness of the cubic curve specified
by the control points stored in the indicated array at the
indicated index.
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Returns the flatness of the cubic curve specified
by the indicated control points.
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Returns the square of the flatness of this curve.
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Returns the square of the flatness of the cubic curve specified
by the control points stored in the indicated array at the
indicated index.
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Returns the square of the flatness of the cubic curve specified
by the indicated control points.
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Returns the start point.
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Returns the end point.
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Returns an iteration object that defines the boundary of the
shape.
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Return an iteration object that defines the boundary of the
flattened shape.
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Returns the X coordinate of the start point in double precision.
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Returns the X coordinate of the end point in double precision.
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Returns the Y coordinate of the start point in double precision.
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Returns the Y coordinate of the end point in double precision.
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Tests if the interior of the
Shape intersects the
interior of a specified rectangular area. | |||||||||||
Tests if the interior of the
Shape intersects the
interior of a specified Rectangle2D . | |||||||||||
Sets the location of the end points and control points of this curve
to the same as those in the specified
CubicCurve2D . | |||||||||||
Sets the location of the end points and control points of this curve
to the specified double coordinates.
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Sets the location of the end points and control points of this curve
to the specified
Point2D coordinates. | |||||||||||
Sets the location of the end points and control points of this curve
to the coordinates of the
Point2D objects at the specified
offset in the specified array. | |||||||||||
Sets the location of the end points and control points of this curve
to the double coordinates at the specified offset in the specified
array.
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Solve the cubic whose coefficients are in the
eqn
array and place the non-complex roots into the res
array, returning the number of roots. | |||||||||||
Solves the cubic whose coefficients are in the
eqn
array and places the non-complex roots back into the same array,
returning the number of roots. | |||||||||||
Subdivides the cubic curve specified by the coordinates
stored in the
src array at indices srcoff
through (srcoff + 7) and stores the
resulting two subdivided curves into the two result arrays at the
corresponding indices. | |||||||||||
Subdivides the cubic curve specified by the
src parameter
and stores the resulting two subdivided curves into the
left and right curve parameters. | |||||||||||
Subdivides this cubic curve and stores the resulting two
subdivided curves into the left and right curve parameters.
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[Expand]
Inherited Methods | |||||||||||
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From class
java.lang.Object
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From interface
java.awt.Shape
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This is an abstract class that cannot be instantiated directly. Type-specific implementation subclasses are available for instantiation and provide a number of formats for storing the information necessary to satisfy the various accessor methods below.
Creates a new object of the same class as this object.
OutOfMemoryError | if there is not enough memory. |
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Tests if the interior of the Shape
entirely contains
the specified rectangular area. All coordinates that lie inside
the rectangular area must lie within the Shape
for the
entire rectanglar area to be considered contained within the
Shape
.
The Shape.contains()
method allows a Shape
implementation to conservatively return false
when:
intersect
method returns true
and
Shape
entirely contains the rectangular area are
prohibitively expensive.
Shapes
this method might
return false
even though the Shape
contains
the rectangular area.
The Area
class performs
more accurate geometric computations than most
Shape
objects and therefore can be used if a more precise
answer is required.x | the X coordinate of the upper-left corner of the specified rectangular area |
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y | the Y coordinate of the upper-left corner of the specified rectangular area |
w | the width of the specified rectangular area |
h | the height of the specified rectangular area |
true
if the interior of the Shape
entirely contains the specified rectangular area;
false
otherwise or, if the Shape
contains the rectangular area and the
intersects
method returns true
and the containment calculations would be too expensive to
perform.Tests if a specified Point2D
is inside the boundary
of the Shape
.
p | the specified Point2D to be tested |
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true
if the specified Point2D
is
inside the boundary of the Shape
;
false
otherwise.Tests if the specified coordinates are inside the boundary of the
Shape
.
x | the specified X coordinate to be tested |
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y | the specified Y coordinate to be tested |
true
if the specified coordinates are inside
the Shape
boundary; false
otherwise.Tests if the interior of the Shape
entirely contains the
specified Rectangle2D
.
The Shape.contains()
method allows a Shape
implementation to conservatively return false
when:
intersect
method returns true
and
Shape
entirely contains the Rectangle2D
are prohibitively expensive.
Shapes
this method might
return false
even though the Shape
contains
the Rectangle2D
.
The Area
class performs
more accurate geometric computations than most
Shape
objects and therefore can be used if a more precise
answer is required.r | The specified Rectangle2D |
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true
if the interior of the Shape
entirely contains the Rectangle2D
;
false
otherwise or, if the Shape
contains the Rectangle2D
and the
intersects
method returns true
and the containment calculations would be too expensive to
perform.Returns an integer Rectangle
that completely encloses the
Shape
. Note that there is no guarantee that the
returned Rectangle
is the smallest bounding box that
encloses the Shape
, only that the Shape
lies entirely within the indicated Rectangle
. The
returned Rectangle
might also fail to completely
enclose the Shape
if the Shape
overflows
the limited range of the integer data type. The
getBounds2D
method generally returns a
tighter bounding box due to its greater flexibility in
representation.
Rectangle
that completely encloses
the Shape
.Returns the first control point.
Point2D
that is the first control point of
the CubicCurve2D
.Returns the second control point.
Point2D
that is the second control point of
the CubicCurve2D
.Returns the X coordinate of the first control point in double precision.
CubicCurve2D
.Returns the X coordinate of the second control point in double precision.
CubicCurve2D
.Returns the Y coordinate of the first control point in double precision.
CubicCurve2D
.Returns the Y coordinate of the second control point in double precision.
CubicCurve2D
.Returns the flatness of this curve. The flatness is the maximum distance of a control point from the line connecting the end points.
Returns the flatness of the cubic curve specified by the control points stored in the indicated array at the indicated index. The flatness is the maximum distance of a control point from the line connecting the end points.
coords | an array containing coordinates |
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offset | the index of coords from which to begin
getting the end points and control points of the curve |
CubicCurve2D
specified by the coordinates in coords
at
the specified offset.Returns the flatness of the cubic curve specified by the indicated control points. The flatness is the maximum distance of a control point from the line connecting the end points.
x1 | the X coordinate that specifies the start point
of a CubicCurve2D |
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y1 | the Y coordinate that specifies the start point
of a CubicCurve2D |
ctrlx1 | the X coordinate that specifies the first control point
of a CubicCurve2D |
ctrly1 | the Y coordinate that specifies the first control point
of a CubicCurve2D |
ctrlx2 | the X coordinate that specifies the second control point
of a CubicCurve2D |
ctrly2 | the Y coordinate that specifies the second control point
of a CubicCurve2D |
x2 | the X coordinate that specifies the end point
of a CubicCurve2D |
y2 | the Y coordinate that specifies the end point
of a CubicCurve2D |
CubicCurve2D
represented by the specified coordinates.Returns the square of the flatness of this curve. The flatness is the maximum distance of a control point from the line connecting the end points.
Returns the square of the flatness of the cubic curve specified by the control points stored in the indicated array at the indicated index. The flatness is the maximum distance of a control point from the line connecting the end points.
coords | an array containing coordinates |
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offset | the index of coords from which to begin
getting the end points and control points of the curve |
CubicCurve2D
specified by the coordinates in coords
at
the specified offset.Returns the square of the flatness of the cubic curve specified by the indicated control points. The flatness is the maximum distance of a control point from the line connecting the end points.
x1 | the X coordinate that specifies the start point
of a CubicCurve2D |
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y1 | the Y coordinate that specifies the start point
of a CubicCurve2D |
ctrlx1 | the X coordinate that specifies the first control point
of a CubicCurve2D |
ctrly1 | the Y coordinate that specifies the first control point
of a CubicCurve2D |
ctrlx2 | the X coordinate that specifies the second control point
of a CubicCurve2D |
ctrly2 | the Y coordinate that specifies the second control point
of a CubicCurve2D |
x2 | the X coordinate that specifies the end point
of a CubicCurve2D |
y2 | the Y coordinate that specifies the end point
of a CubicCurve2D |
CubicCurve2D
represented by the specified coordinates.Returns the start point.
Point2D
that is the start point of
the CubicCurve2D
.Returns the end point.
Point2D
that is the end point of
the CubicCurve2D
.Returns an iteration object that defines the boundary of the
shape.
The iterator for this class is not multi-threaded safe,
which means that this CubicCurve2D
class does not
guarantee that modifications to the geometry of this
CubicCurve2D
object do not affect any iterations of
that geometry that are already in process.
at | an optional AffineTransform to be applied to the
coordinates as they are returned in the iteration, or null
if untransformed coordinates are desired |
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PathIterator
object that returns the
geometry of the outline of this CubicCurve2D
, one
segment at a time.Return an iteration object that defines the boundary of the
flattened shape.
The iterator for this class is not multi-threaded safe,
which means that this CubicCurve2D
class does not
guarantee that modifications to the geometry of this
CubicCurve2D
object do not affect any iterations of
that geometry that are already in process.
at | an optional AffineTransform to be applied to the
coordinates as they are returned in the iteration, or null
if untransformed coordinates are desired |
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flatness | the maximum amount that the control points for a given curve can vary from colinear before a subdivided curve is replaced by a straight line connecting the end points |
PathIterator
object that returns the
geometry of the outline of this CubicCurve2D
,
one segment at a time.Returns the X coordinate of the start point in double precision.
CubicCurve2D
.Returns the X coordinate of the end point in double precision.
CubicCurve2D
.Returns the Y coordinate of the start point in double precision.
CubicCurve2D
.Returns the Y coordinate of the end point in double precision.
CubicCurve2D
.Tests if the interior of the Shape
intersects the
interior of a specified rectangular area.
The rectangular area is considered to intersect the Shape
if any point is contained in both the interior of the
Shape
and the specified rectangular area.
The Shape.intersects()
method allows a Shape
implementation to conservatively return true
when:
Shape
intersect, but
Shapes
this method might
return true
even though the rectangular area does not
intersect the Shape
.
The Area
class performs
more accurate computations of geometric intersection than most
Shape
objects and therefore can be used if a more precise
answer is required.x | the X coordinate of the upper-left corner of the specified rectangular area |
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y | the Y coordinate of the upper-left corner of the specified rectangular area |
w | the width of the specified rectangular area |
h | the height of the specified rectangular area |
true
if the interior of the Shape
and
the interior of the rectangular area intersect, or are
both highly likely to intersect and intersection calculations
would be too expensive to perform; false
otherwise.Tests if the interior of the Shape
intersects the
interior of a specified Rectangle2D
.
The Shape.intersects()
method allows a Shape
implementation to conservatively return true
when:
Rectangle2D
and the
Shape
intersect, but
Shapes
this method might
return true
even though the Rectangle2D
does not
intersect the Shape
.
The Area
class performs
more accurate computations of geometric intersection than most
Shape
objects and therefore can be used if a more precise
answer is required.r | the specified Rectangle2D |
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true
if the interior of the Shape
and
the interior of the specified Rectangle2D
intersect, or are both highly likely to intersect and intersection
calculations would be too expensive to perform; false
otherwise.Sets the location of the end points and control points of this curve
to the same as those in the specified CubicCurve2D
.
c | the specified CubicCurve2D |
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Sets the location of the end points and control points of this curve to the specified double coordinates.
x1 | the X coordinate used to set the start point
of this CubicCurve2D |
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y1 | the Y coordinate used to set the start point
of this CubicCurve2D |
ctrlx1 | the X coordinate used to set the first control point
of this CubicCurve2D |
ctrly1 | the Y coordinate used to set the first control point
of this CubicCurve2D |
ctrlx2 | the X coordinate used to set the second control point
of this CubicCurve2D |
ctrly2 | the Y coordinate used to set the second control point
of this CubicCurve2D |
x2 | the X coordinate used to set the end point
of this CubicCurve2D |
y2 | the Y coordinate used to set the end point
of this CubicCurve2D |
Sets the location of the end points and control points of this curve
to the specified Point2D
coordinates.
p1 | the first specified Point2D used to set the
start point of this curve |
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cp1 | the second specified Point2D used to set the
first control point of this curve |
cp2 | the third specified Point2D used to set the
second control point of this curve |
p2 | the fourth specified Point2D used to set the
end point of this curve |
Sets the location of the end points and control points of this curve
to the coordinates of the Point2D
objects at the specified
offset in the specified array.
pts | an array of Point2D objects |
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offset | the index of pts from which to begin setting
the end points and control points of this curve to the
points contained in pts |
Sets the location of the end points and control points of this curve to the double coordinates at the specified offset in the specified array.
coords | a double array containing coordinates |
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offset | the index of coords from which to begin
setting the end points and control points of this curve
to the coordinates contained in coords |
Solve the cubic whose coefficients are in the eqn
array and place the non-complex roots into the res
array, returning the number of roots.
The cubic solved is represented by the equation:
eqn = {c, b, a, d}
dx^3 + ax^2 + bx + c = 0
A return value of -1 is used to distinguish a constant equation,
which may be always 0 or never 0, from an equation which has no
zeroes.
eqn | the specified array of coefficients to use to solve the cubic equation |
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res | the array that contains the non-complex roots resulting from the solution of the cubic equation |
Solves the cubic whose coefficients are in the eqn
array and places the non-complex roots back into the same array,
returning the number of roots. The solved cubic is represented
by the equation:
eqn = {c, b, a, d} dx^3 + ax^2 + bx + c = 0A return value of -1 is used to distinguish a constant equation that might be always 0 or never 0 from an equation that has no zeroes.
eqn | an array containing coefficients for a cubic |
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Subdivides the cubic curve specified by the coordinates
stored in the src
array at indices srcoff
through (srcoff
+ 7) and stores the
resulting two subdivided curves into the two result arrays at the
corresponding indices.
Either or both of the left
and right
arrays may be null
or a reference to the same array
as the src
array.
Note that the last point in the first subdivided curve is the
same as the first point in the second subdivided curve. Thus,
it is possible to pass the same array for left
and right
and to use offsets, such as rightoff
equals (leftoff
+ 6), in order
to avoid allocating extra storage for this common point.
src | the array holding the coordinates for the source curve |
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srcoff | the offset into the array of the beginning of the the 6 source coordinates |
left | the array for storing the coordinates for the first half of the subdivided curve |
leftoff | the offset into the array of the beginning of the the 6 left coordinates |
right | the array for storing the coordinates for the second half of the subdivided curve |
rightoff | the offset into the array of the beginning of the the 6 right coordinates |
Subdivides the cubic curve specified by the src
parameter
and stores the resulting two subdivided curves into the
left
and right
curve parameters.
Either or both of the left
and right
objects
may be the same as the src
object or null
.
src | the cubic curve to be subdivided |
---|---|
left | the cubic curve object for storing the left or first half of the subdivided curve |
right | the cubic curve object for storing the right or second half of the subdivided curve |
Subdivides this cubic curve and stores the resulting two subdivided curves into the left and right curve parameters. Either or both of the left and right objects may be the same as this object or null.
left | the cubic curve object for storing for the left or first half of the subdivided curve |
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right | the cubic curve object for storing for the right or second half of the subdivided curve |